Question

Question: Calculate the mass density (in kilogram per cubic meter) of a cylinder whose mass is (13.77 ± 0.11) g, diameter is (1.83 ± 0.07) cm, and height is (3.25 ± 0.05) cm. In all calculations below, you must also determine the uncertainties in the calculated values.

1. Calculate the percent uncertainty for the mass of the cylinder.

( 1 2 3 4 5 ) (2.25 pts)

2. Calculate the percent uncertainty for the diameter of the cylinder.

( 1 2 3 4 5 ) (2.25 pts)

3. Calculate the percent uncertainty for height of the cylinder.

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4. Write down the formula for the area of the circular cross section as a function of the diameter. ( 1 2 3 4 5 ) (1.25 pts)

5. Write down the formula for the volume of the cylinder as a function of the diameter and the height. ( 1 2 3 4 5 ) (1.25 pts)

6. Calculate the area of the circular cross section. ( 1 2 3 4 5 ) (2.25 pts)

7. Calculate the volume of the cylinder. ( 1 2 3 4 5 ) (2.25 pts)

8. Use the fact that 100 cm = 1 m, to calculate the conversion factor between cubic centimeters and cubic meters. ( 1 2 3 4 5 ) (3.25 pts)

9. Convert the volume calculated from cm3 to m3. Express your result in scientific notation.

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10. Convert the mass from grams to kilograms. Express your result in scientific notation.

( 1 2 3 4 5 ) (2.25 pts)

11. Calculate the mass density of the material using the formula, ?=??. Do not forget your units. ( 1 2 3 4 5 ) (5.25 pts)

Answer 1

Here given,